129/128: Difference between revisions

CompactStar (talk | contribs)
I hope I'm correct
Fredg999 (talk | contribs)
Also remove link to temperament
 
(7 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
|Ratio = 129/128
| Ratio = 129/128
|Name = 43-limit comma (HEJI)
| Name = 43rd-partial chroma, 43-limit Johnston comma
|Color name = 43o1, fotho unison
| Color name = 43o1, fotho unison
|Comma = yes
| Comma = yes
}}
}}
'''129/128''', or the '''43-limit Johnston comma (HEJI)''', is a 2.3.43 subgroup comma. It is the amount by which 43/32 (the 43rd harmonic) exceeds the perfect fourth (4/3). It is significant in [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby quadragesimotertial interval.
'''129/128''', the '''43rd-partial chroma''' or '''43-limit Johnston comma''' is a 2.3.43 subgroup comma. It is the amount by which the octave-reduced 43rd harmonic [[43/32]] exceeds the [[4/3|perfect fourth (4/3)]].
 
This interval is the 43rd-partial chroma (43-limit formal comma) used to express 43-limit intervals in the [[Functional Just System]] and [[Helmholtz-Ellis notation]], as well as extended [[Ben Johnston's notation]]. It is significant to translate a Pythagorean interval to a nearby quadragesimotertial interval.
 
== Etymology ==
This interval was named the 43rd-partial chroma or 43-limit Johnston comma by [[Stephen Weigel]] in 2023.
 
== See also ==
* [[Small comma]]
* [[List of superparticular intervals]]
 
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]